Data: V (volume) = 300 m³ Ab (area of the pyramid's base) = ? h (height) = 3 m
The volume of a pyramid is given as a function of the area of its base and the height h, according to the formula below: [tex]V = \frac{1}{3}* A_{b} *h[/tex] Solving: [tex]V =\frac{1}{3}* A_{b} *h[/tex] [tex]300 =\frac{1}{3}* A_{b} *3[/tex] [tex]300 = \frac{3 A_{b} }{3} [/tex] [tex]300*3 = 3 A_{b} [/tex] [tex]900 = 3 A_{b}[/tex] [tex]3 A_{b} = 900[/tex] [tex]A_{b} = \frac{900}{3} [/tex] [tex]\boxed{\boxed{A_{b} = 300\:m^2}}\end{array}}\qquad\quad\checkmark[/tex]
